Question

How do you find the slope and intercept to graph `7y+8x+6=16+8x`?

Answer 1

slope = 0 , intercept `= 10/7`

Explanation:

First , we require to find the equation of the line in the form
y = mx + c, where m represents the gradient (slope) and c , the y-intercept.

Rearrange 7y + 8x + 6 = 16 + 8x into this form.

hence : 7y = 16 + 8x - 8x - 6 = 10 → 7y = 10

divide both sides by 7.

`(cancel(7) y)/cancel(7) = 10/7 rArr y = 10/7" is the equation "`

This is a special case , of the equation of a line.

It passes through all points on the plane with a y-coord `= 10/7`
It is therefore parallel to the x-axis and has a slope = 0

Here is the graph of y `=10/7`
graph{0x+10/7 [-10, 10, -5, 5]}